Differential equations

differential equation is a mathematical equation that relates some function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two.



What is differential equation with example?
Differential Equations. A Differential Equation is an equation with a function and one or more of its derivatives: Example: an equation with the function y and its derivative dy/dx.
Why do we use differential equations?
The importance of a differential equation as a technique for determining a function is that if we know the function and possibly some of its derivatives at a particular point, then this information, together with the differential equation, can be used to determine the function over its entire domain.
What is order of differential equation?
The order is the highest numbered derivative in the equation, while the degree is the highest power to which a derivative is raised. For example: y''+y'=y is a first degree second order differential equation, while (y')^2=y is a second degree firstorder differential equation.
What are the different types of differentials?

Different types
  • An open differential (OD) is the most common type. ...
  • A limited slip differential (LSD) overcomes this problem. ...
  • A locking differential (locker) is able to lock the two drive wheels on an axle together. ...
  • A spool is an open differential in which the axles have been mechanically fastened together.
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